Question

6.A string of 100 Christmas lights requires 4 Volts and 2 Amps for a single bulb to light up. (a) When one light on the sting goes out the whole string of lights no longer turns on. What type of circuit are these lights? (b) What is the total voltage, current, and resistance of this circuit to light up all 100 bulbs? (c) When one light goes out on the string all other lights still turn on. What type of circuit are these lights? (d) What is the total voltage, current, and resistance of this circuit to light up all 100 bulbs?

Answer 1

Step-by-step explanation:

From the information given,

V = 4 volts

A = 2 amps

a)

In the first instance, one light on the sting goes out and the whole string of lights no longer turns on. This means that the circuit is a series circuit.

b) Total voltage = 4 x 100 = 400 V

The current passing through each bulb is the same. Thus

Total Current = 2 Amps

Recall, V = IR

R = V/I

Thus,

Resistance = 400/2

Resistance = 200 ohms

c) In this case, one light goes out on the string all other lights still turn on. This means that the circuit is a parallel circuit

d)

The voltage is the same

Total voltage = 4 volts

Total current = 2 x 100 = 200 amps

Total resistance = 4/200

Total resistance = 0.02 ohms